Answer:
(5,-2)
Step-by-step explanation:
Here, we want to find the coordinates of point after reflection on both x and y axes
After reflection given that the line is y = x
The new points become (y,x)
And as such in this case, we have (5,-2)
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day
Answer:
-4 Degrees Fahrenheit
Step-by-step explanation:
Given
[tex]Initial\ Temperature = 8[/tex] ---- at 10am
[tex]Difference = -3[/tex]
Required
Determine the final temperature at 2pm
First, we need to determine the hour from 10am to 2pm (Both inclusive)
[tex]Interval = 2pm - 10am + 1hr[/tex]
[tex]Interval = 4hr + 1hr[/tex]
[tex]Interval = 5hr[/tex]
To solve further, we make use of the following Arithmetic Progression formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- Initial
[tex]d = -3[/tex] --- difference
[tex]n = 5[/tex] -- 5th term
[tex]T_n[/tex] --- Final temperature at 2pm
So: we have:
[tex]T_n = 8 + (5 - 1) * -3[/tex]
[tex]T_n = 8 + (4) * -3[/tex]
[tex]T_n = 8 + 4 * -3[/tex]
[tex]T_n = 8 -12[/tex]
[tex]T_n = -4[/tex]
Hence:
The temperature is -4 Degrees Fahrenheit
Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?
Answer:
8/5-12x
Step-by-step explanation:
-4(-2/5+3x)
Multiply each term inside the parentheses by -4
-4 * -2/5 + -4 * 3x
8/5-12x
Answer:
-1.6+12x
Step-by-step explanation:
First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x
Alice drove 170 miles in 2.5 hours. At this rate, how far will she drive in 4 hours? miles
Answer:
She will drive 272 miles in 4 hours.
Step-by-step explanation:
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
Answer:
[tex]n = 3[/tex]
[tex]XY = 39[/tex]
[tex]XZ = 39[/tex]
Step-by-step explanation:
Given
[tex]XY = 9n + 12[/tex]
[tex]XZ = 15n - 6[/tex]
[tex]<XYZ = <YZX[/tex]
Solving (a): n
To solve for n;
We make use of
[tex]XY = XZ[/tex]
Substitute values for XY and XZ
[tex]9n + 12 = 15n - 6[/tex]
[tex]9n - 15n = -12 - 6[/tex]
[tex]-6n = -18[/tex]
Divide through by -6
[tex]n = 3[/tex]
Solving (b) XY
[tex]XY = 9n + 12[/tex]
Substitute 3 for n
[tex]XY = 9 * 3 + 12[/tex]
[tex]XY = 27 + 12[/tex]
[tex]XY = 39[/tex]
Solving (c): XZ
[tex]XZ = XY[/tex]
[tex]XZ = 39[/tex]
The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isosceles triangle.
Given :
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ.Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.
From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:
XY = XZ
9n + 12 = 15n - 6
Simplify the above expression in order to determine the value of 'n'.
18 = 6n
n = 3 ft
The measure of leg XY is given by:
XY = 9(3) + 12 = 39 ft
The measure of leg XZ is given by:
XZ = 15(3) - 6 = 39 ft
For more information, refer to the link given below:
https://brainly.com/question/19237987
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …
3 mph
Please help!!!!
Answer:
Alex needs to walk for 45 minutes.
Step-by-step explanation:
2.25 / 3 = 0.75 hours
0.75 hours = 45 minutes
An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000
Answer:33,325,000
Step-by-step explanation:95,976,000÷2.88=33,325,000
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
URGENT! 10 points
Solve for x then find DE
Answer:
14
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x+7+7=4x+2 simplify
PROBLEM 1
Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the
dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?
Answer:
24 socks
Step-by-step explanation:
The given parameters are;
The number of different colors of socks = 3
Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario
After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table
Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11
Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
pls help economics..........
Relatively elastic because it's obviously not essential but some people still want it.
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer:
48s plus 12p - 18
Step-by-step explanation:
Answer:
Add 48 + 12 and Subtract the sum from 18 (14+12-18)
Step-by-step explanation:
Sorry if I'm confusing you ;(
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Chloe's birthday.
Answer:
C=-3t+30
Step-by-step explanation:
Please reply quickly and explain if you can thanks
Answer:
36
Step-by-step explanation:
k(6)= (6)²
Can someone please
Help w this?
what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?
Answer:
what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver
Answer:
Step-by-step explanation:
On the 2nd equation, turn the slope the -3x. This creates two parralel lines.
Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).
Answer:
185
Step-by-step explanation:
distance formula is d=√((x_2-x_1)²+(y_2-y_1)²
so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]
where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]
[tex](-3-5)^{2} =64[/tex]
[tex](7+4)^{2} =121[/tex]
64+121= 185
Hope this helps...sorry if i'm wrong.
*
ate: Find 8% of 40.
nt)
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
Solve the word problems using either the percent equation or the percent
proportion. Make sure to answer in a complete sentence. Round to the whole
number if necessary.
Tyler and Ilan scored 48% of their team’s points in the math
competition. If they scored 84 points, what was the team’s total score?
Answer:
Tyler and llan scored 24 points.
Explanation:
Another way to state this problem is what is 48% of 50.
"Percent" or "%" means "out of 100" or "per 100", Therefore 48% can be written as
48
100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number we are looking for "n".
Putting this altogether we can write this equation and solve for n
while keeping the equation balanced:
n=48,100 × 50
n = 24,001,00
n= 24
Step-by-step explanation:
The product of a number and is 3 Find the number.
Your answer
Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answer:
$133
Step-by-step explanation:
Let x = amount of money she had before she spent any money.
x - 29 - 29 - 29 - 15 = 31
x - 102 = 31
x = 133
Answer: She had $133.
Answer:
she had 133$
Step-by-step explanation:
Multiply 29$ by the amount of shirts and get 87$
then add 31$, the 15$ she spent on lunch, and add the 87$ and get 133$.
The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?
Answer:
(4, -3)
Step-by-step explanation:
It says my answers need to be at least 20 characters long so I had to write this.
i really really need help
Answer:
with what? i can help you more than likely if you tell me what you need help with.
Step-by-step explanation:
y=x^2+9x+3 write graph form